Answer:
The answer is
<h2>
![-\frac{9}{7}](https://tex.z-dn.net/?f=-%5Cfrac%7B9%7D%7B7%7D%20)
</h2>
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
![m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7B%20y_2%20-%20y%20_%201%7D%7Bx_%202%20-%20x_%201%7D%20%5C%5C)
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
G(–2, 6) and H(5, –3)
The slope is
m = -3 - 6 / 5 -- 2 = - 9 /7
Hope this helps you
Answer:
Upper P (Upper A or Upper B ) = 0.59
Step-by-step explanation:
We have that:
![P(A) = 0.48](https://tex.z-dn.net/?f=P%28A%29%20%3D%200.48)
![P(B) = 0.23](https://tex.z-dn.net/?f=P%28B%29%20%3D%200.23)
![P(A \cap B) = 0.12](https://tex.z-dn.net/?f=P%28A%20%5Ccap%20B%29%20%3D%200.12)
The question asks:
![P(A \cup B)](https://tex.z-dn.net/?f=P%28A%20%5Ccup%20B%29)
According to the set theory, it is
![P(A \cup B) = P(A) + P(B) - P(A \cap B)](https://tex.z-dn.net/?f=P%28A%20%5Ccup%20B%29%20%3D%20P%28A%29%20%2B%20P%28B%29%20-%20P%28A%20%5Ccap%20B%29)
Then
![P(A \cup B) = 0.48 + 0.23 - 0.12 = 0.59](https://tex.z-dn.net/?f=P%28A%20%5Ccup%20B%29%20%3D%200.48%20%2B%200.23%20-%200.12%20%3D%200.59)
The period of the graphed function is T = 8.
<h3>
How to get the period?</h3>
For a sinusoidal function, the period is the horizontal distance between two consecutive peaks.
Here we can see the first peak at x = 1, and the second peak is at x = 9.
The horizontal distance is: 9 - 1= 8.
Then we conclude that the period of the function is T = 8.
If you want to learn more about period.
brainly.com/question/9565966
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Answer:
the answer is -30
Step-by-step explanation:
-10 is being multiplied to this minus '-'(-3).
so we get +10 because -×- is +.
then, +10 is being multiplied to -3 in which we get -30